Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 501, 805, 800, 663 i.e. 1 largest integer that divides all the numbers equally.
GCD of 501, 805, 800, 663 is 1
GCD(501, 805, 800, 663) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 501, 805, 800, 663 is 1
GCD(501, 805, 800, 663) = 1
Given Input numbers are 501, 805, 800, 663
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 805
List of positive integer divisors of 805 that divides 805 without a remainder.
1, 5, 7, 23, 35, 115, 161, 805
Divisors of 800
List of positive integer divisors of 800 that divides 800 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
Divisors of 663
List of positive integer divisors of 663 that divides 663 without a remainder.
1, 3, 13, 17, 39, 51, 221, 663
Greatest Common Divisior
We found the divisors of 501, 805, 800, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 805, 800, 663 is 1.
Therefore, GCD of numbers 501, 805, 800, 663 is 1
Given Input Data is 501, 805, 800, 663
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 501 is 3 x 167
Prime Factorization of 805 is 5 x 7 x 23
Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5
Prime Factorization of 663 is 3 x 13 x 17
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(501, 805) = 403305
GCD(501, 805) = ( 501 x 805 ) / 403305
GCD(501, 805) = 403305 / 403305
GCD(501, 805) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 800
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 800) = 800
GCD(1, 800) = ( 1 x 800 ) / 800
GCD(1, 800) = 800 / 800
GCD(1, 800) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 663
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 663) = 663
GCD(1, 663) = ( 1 x 663 ) / 663
GCD(1, 663) = 663 / 663
GCD(1, 663) = 1
GCD of 501, 805, 800, 663 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 501, 805, 800, 663?
GCD of 501, 805, 800, 663 is 1
2. Where do I get the detailed procedure to find GCD of 501, 805, 800, 663?
You can find a detailed procedure to find GCD of 501, 805, 800, 663 on our page.
3. How to find GCD of 501, 805, 800, 663 on a calculator?
You can find the GCD of 501, 805, 800, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.